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Finding the Fourth Proportional to 828.22, 1,135.53 and 813.42

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Solution

The fourth proportional to 828.22, 1,135.53 and 813.42 is: 1,115.24

Step by Step Solution

  1. Step 1: Write the proportion equation
    828.22 : 1,135.53 = 813.42 : x
  2. Step 2: Convert to fraction form
    828.22/1,135.53 = 813.42/x
  3. Step 3: Cross multiply
    828.22x = 1,135.53 × 813.42
  4. Step 4: Simplify right side
    828.22x = 923,667.95
  5. Step 5: Solve for x
    x = 923,667.95/828.22
  6. Step 6: Final answer
    x = 1,115.24

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Why These Related Problems?

These problems maintain the same ratio (1.37) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.